A highly symmetric four-dimensional quasicrystal.
01 January 1987
A quasiperiodic pattern (or quasicrystal) is constructed in real four-dimensional Euclidean space, having the noncrystallographic reflection group [3,3,5] of order 14400 as its point group. It is obtained as a projection of the eight-dimensional lattice E sub 8, and has as a cross-section a three-dimensional quasicrystal with icosahedral symmetry.